Efficient automatic quadrature in 3-d Galerkin BEM
Efficient automatic quadrature in 3-d Galerkin BEM
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DOI：
10.1016/s0045-7825(97)00236-3
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发表时间：
1998-05-11
影响因子：
7.2
通讯作者：
Sauter, SA
中科院分区：
文献类型：
--
作者：
Erichsen, S;Sauter, SA
我们给出了R-3中曲面上边界积分方程组Galerkin离散化所产生的曲面积分的数值逼近方法。这种数值积分器不依赖于核函数的显式形式、试验和试验空间或曲面参数化。因此，只需替换用于计算核函数的子例程，就可以生成一大类积分方程组的系统矩阵。我们将给出公式来确定所需精度的容积法的最小阶数。重点进行了数值实验，验证了理论结果。(C)1998年爱思唯尔科学公司。
We present cubature methods approximating the surface integrals arising by Galerkin discretization of boundary integral equations on surfaces in R-3. This numerical integrator does not depend on the explicit form of the kernel function, the trial and test space, or the surface parametrization. Thus, it is possible to generate the system matrix for a broad class of integral equations just by replacing the sub routine for evaluating the kernel function. We will present formulae to determine the minimal order of the cubature methods for a required accuracy. Emphasis is laid on numerical experiments confirming the theoretical results. (C) 1998 Elsevier Science S.A.